An Improved Time Integration Algorithm: A Collocation Time Finite Element Approach Academic Article

abstract

• A time collocation finite element approach is employed to develop one- and two-step time integration schemes with algorithmic dissipation control capability. The newly developed time integration schemes are combined to obtain a new family of time integration algorithms using the concept employed by Baig and Bathe. The newly developed algorithm can effectively control the algorithmic dissipation by relating the collocation parameters with the spectral radius in the high frequency limit. The new algorithm provides better accuracy compared with the generalized-[Formula: see text] method for highly dissipative cases and includes the Baig and Bathe method within its family as a special case.

authors

• Reddy, Junuthula

published proceedings

• INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS

author list (cited authors)

• Kim, W., & Reddy, J. N.

citation count

• 34

complete list of authors

• Kim, Wooram||Reddy, JN

publication date

• March 2017

publisher

• World Scientific Publishing  Publisher

published in

• International Journal of Structural Stability and Dynamics  Journal

keywords

• Composite Time Integration Scheme
• Dissipation Control
• Implicit Time Integration Scheme
• Linear And Nonlinear Structural Dynamics
• The Baig And Bathe Method
• The Generalized-alpha Method

Digital Object Identifier (DOI)

• 10.1142/S0219455417500249

start page

• 1750024

end page

• 1750024

volume

• 17

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1142%2Fs0219455417500249